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Finding the Fourth Proportional to 11,309.84, 16,949.40 and 7,198.48

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Solution

The fourth proportional to 11,309.84, 16,949.40 and 7,198.48 is: 10,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.84 : 16,949.40 = 7,198.48 : x
  2. Step 2: Convert to fraction form
    11,309.84/16,949.40 = 7,198.48/x
  3. Step 3: Cross multiply
    11,309.84x = 16,949.40 × 7,198.48
  4. Step 4: Simplify right side
    11,309.84x = 122,009,916.91
  5. Step 5: Solve for x
    x = 122,009,916.91/11,309.84
  6. Step 6: Final answer
    x = 10,787.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.